Place the oats and sunflower seeds in a food processor, and blend until you get a fine flour-like consistency (it may take a few minutes.) Transfer to a mixing bowl.
Place the dates (without pits) into the food processor and blend until a sticky paste forms. Add the sticky ball of date paste to the mixing bowl.
Add cocoa powder, peanut butter, vanilla, and mini chocolate chips to the mixing bowl. Use your hands to combine all the ingredients thoroughly.
Gently shape the dough into balls, using about two tablespoons of dough per ball.